12(x+5)=3(x-30)

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Solution for 12(x+5)=3(x-30) equation: 


Simplifying
12(x + 5) = 3(x + -30)

Reorder the terms:
12(5 + x) = 3(x + -30)
(5 * 12 + x * 12) = 3(x + -30)
(60 + 12x) = 3(x + -30)

Reorder the terms:
60 + 12x = 3(-30 + x)
60 + 12x = (-30 * 3 + x * 3)
60 + 12x = (-90 + 3x)

Solving
60 + 12x = -90 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
60 + 12x + -3x = -90 + 3x + -3x

Combine like terms: 12x + -3x = 9x
60 + 9x = -90 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + 9x = -90 + 0
60 + 9x = -90

Add '-60' to each side of the equation.
60 + -60 + 9x = -90 + -60

Combine like terms: 60 + -60 = 0
0 + 9x = -90 + -60
9x = -90 + -60

Combine like terms: -90 + -60 = -150
9x = -150

Divide each side by '9'.
x = -16.66666667

Simplifying
x = -16.66666667

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